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Modeling (some aspects of ) the female reproductive system

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Abstract

In this presentation, I will review modeling and data analysis for the female reproductive system, putting emphasis of the intrinsic multiscale nature of this system. At the anatomical level, model efforts have been put to model the temporal fluctuations of the main key players of the reproductive neuro-endocrine system, based on delayed or stochastic differential equations. At the tissular and cellular level, I will present several population dynamical models applied to ovarian follicles development in mammals. The ovarian follicles are the basic anatomical and functional units of the ovaries. One ovarian follicle consists of a population of somatic cells sheltering the germ cell. Deterministic and stochastic structured population dynamics are thus natural object to describe the growth of the somatic cell population inside an ovarian follicle, thereby giving tools to understand the dynamics of follicle growth and maturation. Then, I will present a multiscale model describing the evolution of the population of follicles within the ovaries, focusing on the interactions between follicles all along the reproductive life. This model is a first step and is intended to be further enriched taking into account both dynamics at the anatomical and intra-cellular level. We performed a model reduction based on a separation of time scale, and show qualitative adequacy with biological data of our reduced model.
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Dates and versions

hal-03727263 , version 1 (19-07-2022)

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  • HAL Id : hal-03727263 , version 1

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Romain Yvinec. Modeling (some aspects of ) the female reproductive system. Séminaire d’analyse appliquée A³, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Oct 2021, Amiens, France. ⟨hal-03727263⟩
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